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Finding the Fourth Proportional to 3,290.96, 4,536.84 and 2,241.68

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Solution

The fourth proportional to 3,290.96, 4,536.84 and 2,241.68 is: 3,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.96 : 4,536.84 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    3,290.96/4,536.84 = 2,241.68/x
  3. Step 3: Cross multiply
    3,290.96x = 4,536.84 × 2,241.68
  4. Step 4: Simplify right side
    3,290.96x = 10,170,143.49
  5. Step 5: Solve for x
    x = 10,170,143.49/3,290.96
  6. Step 6: Final answer
    x = 3,090.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.